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Finding the Fourth Proportional to 437.97, 604.35 and 367.77

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Solution

The fourth proportional to 437.97, 604.35 and 367.77 is: 507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.97 : 604.35 = 367.77 : x
  2. Step 2: Convert to fraction form
    437.97/604.35 = 367.77/x
  3. Step 3: Cross multiply
    437.97x = 604.35 × 367.77
  4. Step 4: Simplify right side
    437.97x = 222,261.80
  5. Step 5: Solve for x
    x = 222,261.80/437.97
  6. Step 6: Final answer
    x = 507.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.